• Support PF! Buy your school textbooks, materials and every day products Here!

A particle in Electric and Magnetic field

  • Thread starter Abdul.119
  • Start date
  • #1
72
2

Homework Statement


A charge q is released in crossed E and B fields: E is oriented along y axis; B is oriented about z axis
Derive the equation of motion of q

Homework Equations




The Attempt at a Solution


I'm not sure what equation I should use here, the only equation that I have which gives Force in terms of E and B is: F = q(E+v×B) , so I was thinking of using that, and set it equal to Newton's law F = m r'' , where r'' = {x'',y'',z''} , am I correct like that?
 

Answers and Replies

  • #2
Suraj M
Gold Member
599
39
What exactly is r"?
 
  • #3
72
2
What exactly is r"?
r is just position, and by r'' I mean it is r derived twice so that it is acceleration
 
  • #4
Suraj M
Gold Member
599
39
Okay firstly if the object is moving without deflection even in the presence of a magnetic and electric field, what would be the resultant force on the body?
 
  • #5
72
2
Okay firstly if the object is moving without deflection even in the presence of a magnetic and electric field, what would be the resultant force on the body?
In general it should be F = ma
 
  • #6
Suraj M
Gold Member
599
39
What would be the shape of the path of the object?
 
  • #7
ehild
Homework Helper
15,394
1,802

Homework Statement


A charge q is released in crossed E and B fields: E is oriented along y axis; B is oriented about z axis
Derive the equation of motion of q

Homework Equations




The Attempt at a Solution


I'm not sure what equation I should use here, the only equation that I have which gives Force in terms of E and B is: F = q(E+v×B) , so I was thinking of using that, and set it equal to Newton's law F = m r'' , where r'' = {x'',y'',z''} , am I correct like that?
Yes, it is correct.
You know the direction of the electric and magnetic field vectors. Write them out in vector form, and determine the components Fx, Fy, Fz of the force. Note that the force depends on the velocity, that is, (x'x, y'y, z'z) , Then you get three equations in the form mx"=Fx, my"=Fy, mz"=Fz.
 

Related Threads for: A particle in Electric and Magnetic field

Replies
4
Views
2K
Replies
33
Views
1K
Replies
5
Views
2K
Replies
6
Views
278
Replies
2
Views
1K
Replies
3
Views
534
Replies
4
Views
1K
Top